To solve this problem, we need to determine the equation that represents the situation described. Here's a step-by-step breakdown:
1. Understanding the Problem:
Sammie initially had some amount of money in her checking account, which we will denote as [tex]\( c \)[/tex].
2. Taking Out Money:
Sammie took [tex]$25 out of her account. This means she removed $[/tex]25 from the initial amount [tex]\( c \)[/tex].
3. Remaining Amount:
After taking out [tex]$25, Sammie had $[/tex]100 remaining in her account.
4. Setting Up the Equation:
To find the initial amount [tex]\( c \)[/tex], we need to set up an equation that represents this situation.
The initial amount [tex]\( c \)[/tex] minus the [tex]$25 taken out should equal the $[/tex]100 remaining. This can be expressed as:
[tex]\[
c - 25 = 100
\][/tex]
5. Checking Other Equations:
Let's briefly look at why the other equations do not correctly represent this situation:
- [tex]\( c \times 25 = 100 \)[/tex]: This equation implies that the initial amount [tex]\( c \)[/tex] multiplied by 25 equals 100, which does not fit the context of taking out [tex]$25.
- \( c \div 25 = 100 \): This equation implies that the initial amount \( c \) divided by 25 equals 100, which is not aligned with the problem's scenario.
- \( c + 25 = 100 \): This equation implies that \( c \) plus 25 equals 100, which would mean she initially had less money than the $[/tex]100 remaining after taking out $25, which is not correct.
Therefore, the correct equation to use to find the amount [tex]\( c \)[/tex] that Sammie had in her account before she took the money out is:
[tex]\[
c - 25 = 100
\][/tex]
So, the correct choice is:
[tex]\[
\boxed{c - 25 = 100}
\][/tex]
